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Formal greeting: Earlier in the day the royals met with the Emperor of Japan Akihito and Empress Michiko, with Mary bending down for a low curtsy

Royal encounter: They shook hands outside of the Imperial Palace

Smart: Mother-of-four Mary was elegantly dressed for the occasion in a grey frock with a conservative neckline and three quarter sleeves

Sophisticated: She wore her chocolate coloured locks in a timeless half up half down style

Mary's husband of almost 11 years was dapper by her side in a tailored navy blue suit and broad, boyish smile.

A burgundy tie injected a welcome burst of colour and a small pin was fastened to his lapel.

The pair were inseparable throughout the visit and were seen leaning towards each other for a quiet word during the fashion parade.

Designs included a patterned vest and three-quarter length coat made from seal pelt, a common material used in Greenland for its water resistance qualities.

Warm reception: The Prince and Princess also visited a fashion school where they were greeted by flag waving fans

Delighted: Mary seemed pleased with the turn out and smiled as she was waved into the facility

Structured: Her elegant dress featured pleats down the front of the skirt

Say cheese: Touring the bustling shopping district of Shibuya they posed for photos

Continuing in the realm of fashion, the Prince and Princess, who are representing Greenland in Japan, also toured local design school Mode Gakuen which has cooperated with Great Greenland and Kopenhagen Fur to introduce sealskin to new Japanese designers.

Later taking to the streets of the bustling district, the loving couple posed for photos against the backdrop of a myriad of advertising signs.

They were also welcomed to a lunch at the Imperial Palace where they were greeted by the Emperor of Japan himself Akihito, and his wife Empress Michiko.

Dapper: Frederik looked smart by his wife of almost 11 years' side in a navy blue suit

In love: The couple walked with their arms wrapped around each other

Famous site: Numerous advertising signs could be seen beaming down on the royals

Adhering to formalities Mary gave a deep curtsy before the Empress.

In 2009, president of the United States Barack Obama caused a stir in his home country when he was photographed bowing at the waist to the Emperor in a similar manner.

Many commentators voiced the opinion that the president should not bow to a foreign head of state or symbolic monarch but officials responded by saying it was 'protocol' in Japan.

A trip to the Danish embassy later saw Mary and Frederik meet a group of children and their furry friends.

The pair spent time chatting to the locals and inspected a cardboard igloo structure erected outside of the embassy.

Don't be shy: The Princess met with local children after inspecting a cardboard igloo near the Danish embassy

Play time! The Danish royal had fun ducking under the entrance of the cardboard structure

Dog lovers: One girl's furry friend attracted the attention of the couple

Work of art: The igloo was designed by Kogakuin University professor and architect Toshihiko Suzuki (second from the right) who also showed the royals around

Presenting his work: He explained the structure and meaning of the design to the dignitaries

Natural beauty: Mary looked stunning on the occasion and wore a pair of diamond earrings

The jam packed day ended with a meeting with Japan's Crown Prince Naruhito.

Arriving at Akasaka Palace in Tokyo, Mary stepped out in a fitted burgundy dress similar in shape to the one she had been wearing earlier.

It featured ruching detail at the side and a slightly more A-line skirt.

The brunette kept the same purse and shoes while her glossy locks were also left in a similar style.

Special guests: The royal couple sat front row at Danish haute couture designer Jesper Hovring's showcase where a number of sealskin designs were paraded

Close: The Danish couple, who are enjoying their last of their three day tour of the country to promote Greenland, shared a laugh at the fashion show

Usually used for shoes: Designs included a patterned vest and three-quarter length coat made from seal pelt, a common material used in Greenland for its water resistance

Interested: The duo appeared enthralled by the parade

Face to face: They personally met designers at a fashion school which has cooperated with Great Greenland and Kopenhagen Fur

On the second day of their tour, Princess Mary paid tribute to the host country by donning a stunning cherry blossom print dress.

She and her husband attended an official opening of an exhibition about Greenland, named Spiritual Greenland.

The couple were met by Japanese Princess Takamado and her daughter Princess Tsuguko as well as Greenland Prime Minister Kim Kielsen to perform a tape cutting ceremony.

Following the exhibition they stepped aboard a cruise boat with Tokyo Metropolitan Government Governor Yoichi Masuzoe for their inspection of the planned sites for the 2020 Tokyo Olympic and Paralympic Games facilities.

Quick change: The jam packed day ended with a meeting with Japan's Crown Prince Naruhito

Similar style: Arriving at Akasaka Palace in Tokyo, Mary stepped out in a fitted burgundy dress similar in shape to the one she had been wearing earlier

Stylish: The dress featured a ruching detail at the side and the Princess kept the same purse and shoes

Smile: Her husband reached one arm around her waist as the posed for a photo

Princess Mary and her HRH Crown Prince Frederik famously met at Sydney's Slip Inn when the Prince was visiting Australia during the 2000 Summer Olympics.

Mary was born the youngest of four children to mathematician and professor John Dalgleish Donaldson and his first wife, Henrietta (née Horne), in Hobart.

Upon meeting the future king of Denmark, the pair conducted a long-distance relationship by phone and email, as well as writing letters, and Frederik made a number of discreet visits to Australia.

She moved to Europe in December 2001, while working as an English tutor in Paris, before the courting couple became officially engaged on 8 October 2003.

National flower: On the second day of their tour, Princess Mary paid tribute to the host country by donning a pretty cherry blossom print dress

Controversial moment: In 2009, president of the United States Barack Obama caused a stir in his home country when he was photographed bowing at the waist to the Emperor in a similar manner to Mary's